Level 3 Differentiation Walkthrough
2025 NCEA Level 3 Differentiation Question 1(c)
2025 Paper
Walkthrough overview
What this question practises
This 2025 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.
Method: Product rule and the gradient of a normal.
This is Question 1(c) from the 2025 NCEA Level 3 Differentiation paper for AS91578 — Apply differentiation methods in solving problems. Use the guided hints to practise the method before revealing the full working.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise product rule and the gradient of a normal. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Differentiate both factors in turn and keep both product-rule terms.
Continue practising
- All 2025 Differentiation walkthroughs
- All AS91578 Differentiation years
- Practise more questions using this skill: Product and quotient rules